The measure of each angle is 159° and 21°.
<h3>
What are supplementary angles?</h3>
- When two straight lines or rays intersect at a single endpoint, an angle is created.
- The vertex of an angle is the location where two points come together.
- The Latin word "angulus," which means "corner," is where the word "angle" originates.
- Two angles are considered to be supplementary if their sums total 180 degrees.
- For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
So, supplementary angles = 180
Then,
- 2x + 138 = 180
- 2x = 180 - 138
- 2x = 42
- x = 21
- 21 + 138 = 159
Therefore, the measure of each angle is 159° and 21°.
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Answer:
6 cups
Step-by-step explanation:
3/9 = 2/w
Cross multiply.
3w = 18
w = 6 cups of water
Part (a)
The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26
<h3>Answer: 0.26</h3>
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Part (b)
Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3
<h3>Answer: 0.3</h3>
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Part (c)
<h3>Answer: Choice A) </h3>
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.
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